Answer:
[tex]d = \sqrt{2}[/tex]
Step-by-step explanation:
Use the distance formula: [tex]d = \sqrt{(x_{2} -x_{1} )^{2} + (y_{2} -y_{1} )^{2}}[/tex]
1. Fill in the values:
[tex]d = \sqrt{(7 -6 )^{2} + (3 - 4)^{2}}[/tex]
2. Subtract inside the parenthesis:
[tex]d = \sqrt{(1)^{2} + (-1 )^{2}}[/tex]
3. Simplify:
[tex]d = \sqrt{1 + 1}[/tex]
[tex]d = \sqrt{2}[/tex]
The distance between the points is [tex]d = \sqrt{2}[/tex]
